Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms

被引：21
作者：
Rahmoune, Abdelaziz [1 ]
Ouchenane, Djamel [1 ]
Boulaaras, Salah [2 ,3 ]
Agarwal, Praveen [4 ,5 ,6 ,7 ]
机构：
[1] Amar Teledji Laghouat Univ, Lab Pure & Appl Math, Laghouat, Algeria
[2] Al Ras Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia
[3] Univ Oran 1 Ahmed Benbella, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria
[4] Anand Int Coll Engn, Dept Math, Jaipur, Rajasthan, India
[5] Int Ctr Basic & Appl Sci, Jaipur 302029, Rajasthan, India
[6] Harish Chandra Res Inst, Dept Math, Allahabad 211019, Uttar Pradesh, India
[7] Netaji Subhas Univ Technol Dwarka, Dept Math, Sect 3, Delhi 110078, India
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Viscoelastic equation; Exponential growth; Strong damping; Nonlinear source; Distributed delay; 35L05; 35L20; 58G16; 93D20; BLOW-UP; WAVE-EQUATION; VISCOELASTIC EQUATION; REGULARITY CRITERION; UNIFORM DECAY; EXISTENCE; NONEXISTENCE;
D O I：
10.1186/s13662-020-02801-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, the exponential growth of solutions for a coupled nonlinear Klein-Gordon system with distributed delay, strong damping, and source terms is proved. Take into consideration some suitable assumptions.
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页数：15
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